log[3](-9-4x)=4

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Solution for log[3](-9-4x)=4 equation:


Simplifying
log[3](-9 + -4x) = 4

Reorder the terms for easier multiplication:
3glo(-9 + -4x) = 4
(-9 * 3glo + -4x * 3glo) = 4
(-27glo + -12glox) = 4

Solving
-27glo + -12glox = 4

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Reorder the terms:
-4 + -27glo + -12glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -27glo + -12glox = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 27glo + 12glox) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(4 + 27glo + 12glox)' equal to zero and attempt to solve: Simplifying 4 + 27glo + 12glox = 0 Solving 4 + 27glo + 12glox = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 27glo + -4 + 12glox = 0 + -4 Reorder the terms: 4 + -4 + 27glo + 12glox = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 27glo + 12glox = 0 + -4 27glo + 12glox = 0 + -4 Combine like terms: 0 + -4 = -4 27glo + 12glox = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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